节点文献
非线性Klein-Gordon方程的精确解
Exact solutions to the nonlinear Klein-Gordon equation
【摘要】 对文献[1]中提出的方法进行了改进,简化了其结果,并利用该方法借助计算机代数系统求得了非线性Klein-Gordon方程一系列的精确解,包括孤波解和周期解.同时,这种方法也适用于其他的非线性方程.
【Abstract】 In the paper,we have improved the method of ref.[1] and applied it to the nonlinear Klein-Gordon equation,with the aid of the symbolic computation.As a result,more traveling wave solutions were obtained including periodic wave solutions and solitary wave solutions.It was shown that this improved method can also be used for solving other nonlinear partial differential equations.
【关键词】 改进的方法;
Klein-Gordon方程;
孤波解;
周期解;
【Key words】 an improved method; nonlinear Klein-Gordon equation; periodic wave solutions; solitary wave solutions;
【Key words】 an improved method; nonlinear Klein-Gordon equation; periodic wave solutions; solitary wave solutions;
【基金】 安徽省自然科学基金资助项目(01041188);安徽省省级精品课程基金资助项目
- 【文献出处】 安徽大学学报(自然科学版) ,Journal of Anhui University(Natural Sciences) , 编辑部邮箱 ,2009年05期
- 【分类号】O175.29
- 【被引频次】1
- 【下载频次】126